(2x^4−5x^3−x^2−17x−15)-:(x^2−2)=2x^2-5x+3
color(white)(.)(2x^4+0-4x^2)/
color(white)(.....)-5x^3+3x^2-17x-15
color(white)(.....)(-5x^3+0+10x)/
color(white)(...................)3x^2-27x-15
color(white)(...................)(3x^2+0-6)/
color(white)(.........................)-27x-9
(2x^4−5x^3−x^2−17x−15)/(x^2−2)=2x^2-5x+3-(27x+9)/(x^2-2)